Branes and massive IIA duals of 3d CFT's

TL;DR

This paper explores brane configurations connecting different supergravity backgrounds, demonstrating how T-duality reveals dual gauge theories with unequal Chern-Simons levels, supporting a conjecture about their correspondence.

Contribution

It introduces specific brane setups that interpolate between massless and massive Type IIA backgrounds and establishes the relation between gauge theory parameters and supergravity fluxes.

Findings

T-duality relates Type IIA and Type IIB configurations.

Unequal Chern-Simons levels in dual gauge theories are derived.

Supports Gaiotto-Tomasiello conjecture on CFT duals.

Abstract

We describe brane configurations that interpolate between the N=6 AdS4xCP3 background of Type IIA supergravity and the N=0 AdS4xCP3 background of massive Type IIA supergravity. Using the T-dual Type IIB configurations we prove that this leads to unequal Chern-Simons levels in the dual gauge theory, and find the precise relation between the parameters of the gauge theory and the RR fluxes of the background. This provides further evidence for the conjecture of Gaiotto and Tomasiello about the CFT dual of the massive Type IIA background.